Base×hight×width you are just doing 3/4×3/4×3/4 and what ever your answer is put a little 3 above it so it almost looks like an exponent. Pretend that ABC is the answer it would look like this format = ABCinches3 but the three is tiny
Well a perfect square looks like this:
6 x 6
2 x 2
So the number 72 is between the PRODUCT of two perfect squares such as those.
One product has to be above 72, and the other below it.
So lets multiply.
8 x 8 = 64
9 x 9 = 81
Oh look at that, 72 is between 64 and 81.
Two numbers with factors 2,3,5 are 30 and 60.
when we multiply 2 x 3 x 5 = 30
we get answer 30 and then again multiply with the number that is greater than 1 is 2 and then we get 2 x 2 x 3 x 5 = 60
So the first two numbers with factors 2, 3 and 5 are 30 and 60.
Answer: c. f - 3 + 6d
Explanation: 5d - d + 4 + 2d - 5f - 6f - 7
- 5f - 6f = f
4 - 7 = -3
5d - d = 4d, 4d + 2d = 6d
Answer:
972 x^16 y^24
Step-by-step explanation:
Simplify the following:
(-2 x^3 y^7)^2 (3 x^2 y^2)^5
Multiply each exponent in -2 x^3 y^7 by 2:
(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5
2×7 = 14:
(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5
2×3 = 6:
(-2)^2 x^6 y^14 (3 x^2 y^2)^5
(-2)^2 = 4:
4 x^6 y^14 (3 x^2 y^2)^5
Multiply each exponent in 3 x^2 y^2 by 5:
4 x^6 y^14×3^5 x^(5×2) y^(5×2)
5×2 = 10:
4×3^5 x^6 y^14 x^(5×2) y^10
5×2 = 10:
4×3^5 x^6 y^14 x^10 y^10
3^5 = 3×3^4 = 3 (3^2)^2:
4×3 (3^2)^2 x^6 y^14 x^10 y^10
3^2 = 9:
4×3×9^2 x^6 y^14 x^10 y^10
9^2 = 81:
4×3×81 x^6 y^14 x^10 y^10
3×81 = 243:
4×243 x^6 y^14 x^10 y^10
4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:
4×243 x^(6 + 10) y^(14 + 10)
14 + 10 = 24:
4×243 x^(6 + 10) y^24
6 + 10 = 16:
4×243 x^16 y^24
4×243 = 972:
Answer: 972 x^16 y^24
